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Zbl 0978.93026
The standard $H_\infty$ problem in systems with a single input delay.
(English)
[J] IEEE Trans. Autom. Control 45, No.3, 382-397 (2000). ISSN 0018-9286

The author has treated the standard $H_\infty$ problem for systems with delay at the control actuator. By transforming the original system to an abstract Cauchy problem on a product space and using finite-dimensional computations, the author has reduced the operator Riccati equations (which are difficult to solve) to a pair of algebraic Riccati equations and a differential Riccati equation.
[L.Maniar (Marrakesh)]
MSC 2000:
*93B36 $H^\infty$-control
93C23 Systems governed by functional-differential equations

Keywords: $H_\infty$ control; systems with delay; abstract Cauchy problem; operator Riccati equations; algebraic Riccati equations

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